### Abstract

We consider noninteracting Fermion system in an external field, confined to one-dimensional space. Our main objective is to take advantage of low dimension to find explicitly potential-density profile as well as kinetic energy functional in the ground state. This is accomplished by deriving the complete x-space linear response and a simple recursion representation of the gradient expansion for the kinetic energy. The results can serve as a potential test for higher dimensions, e.g., in exploring convergence properties of the gradient expansion in various regions of the energy spectrum.

Original language | English (US) |
---|---|

Pages (from-to) | 1809-1814 |

Number of pages | 6 |

Journal | Journal of Chemical Physics |

Volume | 111 |

Issue number | 5 |

State | Published - Aug 1 1999 |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Journal of Chemical Physics*,

*111*(5), 1809-1814.

**Recursion representation of gradient expansion for free fermion ground state in one dimension.** / Šamaj, L.; Percus, Jerome.

Research output: Contribution to journal › Article

*Journal of Chemical Physics*, vol. 111, no. 5, pp. 1809-1814.

}

TY - JOUR

T1 - Recursion representation of gradient expansion for free fermion ground state in one dimension

AU - Šamaj, L.

AU - Percus, Jerome

PY - 1999/8/1

Y1 - 1999/8/1

N2 - We consider noninteracting Fermion system in an external field, confined to one-dimensional space. Our main objective is to take advantage of low dimension to find explicitly potential-density profile as well as kinetic energy functional in the ground state. This is accomplished by deriving the complete x-space linear response and a simple recursion representation of the gradient expansion for the kinetic energy. The results can serve as a potential test for higher dimensions, e.g., in exploring convergence properties of the gradient expansion in various regions of the energy spectrum.

AB - We consider noninteracting Fermion system in an external field, confined to one-dimensional space. Our main objective is to take advantage of low dimension to find explicitly potential-density profile as well as kinetic energy functional in the ground state. This is accomplished by deriving the complete x-space linear response and a simple recursion representation of the gradient expansion for the kinetic energy. The results can serve as a potential test for higher dimensions, e.g., in exploring convergence properties of the gradient expansion in various regions of the energy spectrum.

UR - http://www.scopus.com/inward/record.url?scp=0001058682&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001058682&partnerID=8YFLogxK

M3 - Article

VL - 111

SP - 1809

EP - 1814

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 5

ER -